Displaying similar documents to “The Bessel-Struve intertwining operator on and mean-periodic functions.”

Mean periodic functions on phase space and the Pompeiu problem with a twist

Sundaram Thangavelu (1995)

Annales de l'institut Fourier

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We show that when f is a mean periodic function of tempered growth on the reduced Heisenberg group then the closed translation and rotation invariant subspace generated by f contains an elementary spherical function. Using a Paley-Wiener theorem for the Fourier-Weyl transform we formulate a conjecture for arbitrary mean periodic functions.

Mean-periodic functions.

Berenstein, Carlos A., Taylor, B.A. (1980)

International Journal of Mathematics and Mathematical Sciences

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Equicontinuous families of operators generating mean periodic maps

Valentina Casarino (1999)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The existence of mean periodic functions in the sense of L. Schwartz, generated, in various ways, by an equicontinuous group U or an equicontinuous cosine function C forces the spectral structure of the infinitesimal generator of U or C . In particular, it is proved under fairly general hypotheses that the spectrum has no accumulation point and that the continuous spectrum is empty.

Mean-periodic operational calculi

Ivan Dimovski, Krystyna Skórnik (2000)

Banach Center Publications

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Elements of operational calculi for mean-periodic functions with respect to a given linear functional in the space of continuous functions are developed. Application for explicit determining of such solutions of linear ordinary differential equations with constant coefficients is given.